70=(4*x^2)/((x^2)-0.3*x+0.02)

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Solution for 70=(4*x^2)/((x^2)-0.3*x+0.02) equation: 


D( x )

x^2-(0.3*x)+0.02 = 0

x^2-(0.3*x)+0.02 = 0

x^2-(0.3*x)+0.02 = 0

x^2-0.3*x+0.02 = 0

x^2-0.3*x+0.02 = 0

DELTA = (-0.3)^2-(0.02*1*4)

DELTA = 0.3^2-0.08

DELTA = 0.01

DELTA > 0

x = ((0.3^2-0.08)^(1/2)+0.3)/(1*2) or x = (0.3-(0.3^2-0.08)^(1/2))/(1*2)

x = ((0.3^2-0.08)^(1/2)+0.3)/2 or x = (0.3-(0.3^2-0.08)^(1/2))/2

x in (-oo:(0.3-(0.3^2-0.08)^(1/2))/2) U ((0.3-(0.3^2-0.08)^(1/2))/2:((0.3^2-0.08)^(1/2)+0.3)/2) U (((0.3^2-0.08)^(1/2)+0.3)/2:+oo)

70 = (4*x^2)/(x^2-(0.3*x)+0.02) // - (4*x^2)/(x^2-(0.3*x)+0.02)

70-((4*x^2)/(x^2-(0.3*x)+0.02)) = 0

70-4*x^2*(x^2-0.3*x+0.02)^-1 = 0

(-4*x^2)/(x^2-0.3*x+0.02)+70 = 0

x^2-0.3*x+0.02 = 0

x^2-0.3*x+0.02 = 0

x^2-0.3*x+0.02 = 0

DELTA = (-0.3)^2-(0.02*1*4)

DELTA = 0.3^2-0.08

DELTA = 0.01

DELTA > 0

x = ((0.3^2-0.08)^(1/2)+0.3)/(1*2) or x = (0.3-(0.3^2-0.08)^(1/2))/(1*2)

x = ((0.3^2-0.08)^(1/2)+0.3)/2 or x = (0.3-(0.3^2-0.08)^(1/2))/2

(x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2)) = 0

(-4*x^2)/((x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2)))+70 = 0

(-4*x^2)/((x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2)))+(70*(x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2)))/((x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2))) = 0

70*(x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2))-4*x^2 = 0

66*x^2+(35*(0.3-(0.3^2-0.08)^(1/2))+35*((0.3^2-0.08)^(1/2)+0.3))*x+(35*((0.3^2-0.08)^(1/2)+0.3)*(0.3-(0.3^2-0.08)^(1/2)))/2 = 0

66*x^2+(35*(0.3-(0.3^2-0.08)^(1/2))+35*((0.3^2-0.08)^(1/2)+0.3))*x+(35*((0.3^2-0.08)^(1/2)+0.3)*(0.3-(0.3^2-0.08)^(1/2)))/2 = 0

66*x^2+(35*(0.3-(0.3^2-0.08)^(1/2))+35*((0.3^2-0.08)^(1/2)+0.3))*x+(35*((0.3^2-0.08)^(1/2)+0.3)*(0.3-(0.3^2-0.08)^(1/2)))/2 = 0

DELTA = (35*(0.3-(0.3^2-0.08)^(1/2))+35*((0.3^2-0.08)^(1/2)+0.3))^2-(4*66*((35*((0.3^2-0.08)^(1/2)+0.3)*(0.3-(0.3^2-0.08)^(1/2)))/2))

DELTA = 441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3)

DELTA = 71.4

DELTA > 0

x = ((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-(35*(0.3-(0.3^2-0.08)^(1/2)))-(35*((0.3^2-0.08)^(1/2)+0.3)))/(2*66) or x = (-(35*(0.3-(0.3^2-0.08)^(1/2)))-(35*((0.3^2-0.08)^(1/2)+0.3))-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/(2*66)

x = ((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132 or x = (-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132

(x-((-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132))*(x-(((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132)) = 0

((x-((-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132))*(x-(((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132)))/((x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2))) = 0

((x-((-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132))*(x-(((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132)))/((x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2))) = 0 // * (x-((0.3-(0.3^2-0.08)^(1/2))/2))*(x-(((0.3^2-0.08)^(1/2)+0.3)/2))

(x-((-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132))*(x-(((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132)) = 0

( x-(((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132) )

x-(((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132) = 0 // + ((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132

x = ((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132

( x-((-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132) )

x-((-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132) = 0 // + (-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132

x = (-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132

x in { ((441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2)-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3))/132, (-35*(0.3-(0.3^2-0.08)^(1/2))-35*((0.3^2-0.08)^(1/2)+0.3)-(441-4620*(0.3-(0.3^2-0.08)^(1/2))*((0.3^2-0.08)^(1/2)+0.3))^(1/2))/132 }

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